Gaussian Atemporality: When Gaussian Quantum Correlations Imply Common Cause

• URL: http://arxiv.org/abs/2508.11804v2
• Date: Tue, 07 Oct 2025 06:55:24 GMT
• Title: Gaussian Atemporality: When Gaussian Quantum Correlations Imply Common Cause
• Authors: Minjeong Song, Jayne Thompson, Matthew S. Winnel, Biveen Shajilal, Timothy C. Ralph, Syed M. Assad, Mile Gu,
• Abstract summary: We show that specifictemporal Gaussian correlations possess an intrinsic arrow of time, such that Gaussian atemporality robustness is zero in one temporal direction and not the other.<n>We illustrate that specifictemporal Gaussian correlations possess an intrinsic arrow of time, such that Gaussian atemporality robustness is zero in one temporal direction and not the other.
• Score: 0.5277024349608834
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Conventionally, covariances do not distinguish between spatial and temporal correlations. The same covariance matrix could equally describe temporal correlations between observations of the same system at two different times or correlations made on two spatially separated systems that arose from some common cause. Here, we demonstrate Gaussian quantum correlations that are `atemporal', such that the covariances governing their quadrature measurements are unphysical without postulating some common cause. We introduce Gaussian atemporality robustness as a measure of atemporality, illustrating its efficient computability and operational meaning as the maximum noise which can be added without removing this uniquely quantum phenomenon. We illustrate that (i) specific spatiotemporal Gaussian correlations possess an intrinsic arrow of time, such that Gaussian atemporality robustness is zero in one temporal direction and not the other and (ii) that it measures quantum correlations beyond entanglement.

Related papers

• Quantum correlations curvature, memory functions, and fundamental bounds [51.85131234265026]
  We show that quantum geometry can qualitatively modify the imaginary-time decay of correlations, leading to nontrivial curvature behavior.<n>More generally, we show a universal bound on correlation curvature that holds for interacting systems in thermal equilibrium.
  arXiv  Detail & Related papers  (2025-12-22T01:33:11Z)
• Flow based approach for Dynamic Temporal Causal models with non-Gaussian or Heteroscedastic Noises [37.02662517645979]
  We introduce FANTOM, a unified framework for causal discovery.<n>It handles non-stationary processes along with non-Gaussian and heteroscedastic noises.<n>It simultaneously infers the number of regimes and their corresponding indices and learns each regime's Directed Acyclic Graph.
  arXiv  Detail & Related papers  (2025-06-20T15:12:43Z)
• Probing non-Gaussian correlations through entanglement generation in a many-body quantum system [0.0]
  We show that for a uniform quantum gas, there exists a natural connection between non-Gaussian correlations and momentum-space entanglement.<n>This entanglement can be directly measured in an experiment using time-of-flight techniques.
  arXiv  Detail & Related papers  (2025-01-27T16:55:02Z)
• Operator representation of spatiotemporal quantum correlations [0.0]
  We show that correlations between light-touch observables (i.e. observables whose eigenvalues are all equal in magnitude) admit a unique operator representation for arbitrary timelike-separated quantum systems.<n>A special case reproduces generalized Pauli observables and pseudo-density matrices, which have, up until now, only been defined for multi-qubit systems.
  arXiv  Detail & Related papers  (2024-05-27T18:00:02Z)
• Causal classification of spatiotemporal quantum correlations [0.0]
  We show that certain quantum correlations possess an intrinsic arrow of time, and enable classification of general quantum correlations across space-time. Our results indicate that certain quantum correlations possess an intrinsic arrow of time, and enable classification of general quantum correlations across space-time based on their (in)compatibility with various underlying causal structures.
  arXiv  Detail & Related papers  (2023-06-15T17:59:18Z)
• Observation of quantum temporal correlations well beyond Luders bound [9.633980672634406]
  A big breakthrough in quantum physics is its complex extension to the non-Hermitian realm.<n>Unique features of non-Hermitian quantum correlations, especially in the time domain, still remain to be explored.<n>For the first time, we experimentally achieve this goal by using a parity-time (PT)-symmetric trapped-ion system.
  arXiv  Detail & Related papers  (2023-04-13T14:54:09Z)
• Quantum Causal Inference with Extremely Light Touch [0.0]
  We give a causal inference scheme using quantum observations alone for a case with both temporal and spatial correlations.<n>The protocol determines compatibility with 5 causal structures distinguished by the direction of causal influence.
  arXiv  Detail & Related papers  (2023-03-19T02:59:05Z)
• Physical interpretation of nonlocal quantum correlation through local description of subsystems [19.542805787744133]
  We propose the physical interpretation of nonlocal quantum correlation between two systems. Different nonlocal quantum correlations can be discriminated from a single uncertainty relation derived under local hidden state (LHS)-LHS model only.
  arXiv  Detail & Related papers  (2022-10-01T10:13:40Z)
• Equilibrium and nonequilibrium quantum correlations between two detectors in curved space time [9.793615002494237]
  We show the quantum information of two qubits is encoded in the space time structure. In nonequilibrium case, the nonequilibrium can also contribute to the correlations.
  arXiv  Detail & Related papers  (2021-08-24T00:33:57Z)
• Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories [13.3638879601361]
  We consider systems of interacting particles or agents, with dynamics determined by an interaction kernel. We introduce a nonparametric inference approach to this inverse problem, based on a regularized maximum likelihood estimator. We show that a coercivity condition enables us to control the condition number of this problem and prove the consistency of our estimator.
  arXiv  Detail & Related papers  (2020-07-30T01:28:06Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)
• Quantum causal correlations and non-Markovianity of quantum evolution [0.0]
  A non-Markovianity measure for quantum channels is introduced based on causality measure. Breakdown of monotonicity of the causality measure is associated with the revival of temporal correlations.
  arXiv  Detail & Related papers  (2020-05-08T16:10:55Z)
• Decay and recurrence of non-Gaussian correlations in a quantum many-body system [0.45823749779393547]
  We observe a non-Gaussian initial state evolving under non-interacting dynamics in a quantum many-body system. This non-equilibrium evolution is triggered by abruptly switching off the effective interaction between the observed collective degrees of freedom. A description of this dynamics requires a novel mechanism for the emergence of Gaussian correlations.
  arXiv  Detail & Related papers  (2020-03-03T21:49:03Z)
• Quantum correlations in time [2.0373030742807545]
  We investigate quantum correlations in time in different approaches. With the exception of amplitude-weighted correlations in the path integral formalism, temporal correlations in the different approaches are the same or operationally equivalent.
  arXiv  Detail & Related papers  (2020-02-24T18:53:00Z)
• Interference of Clocks: A Quantum Twin Paradox [39.645665748998816]
  Phase of matter waves depends on proper time and is susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. It is conceivable that atom interferometers measure general-relativistic time-dilation effects. We show that closed light-pulse interferometers without clock transitions during the pulse sequence are not sensitive to gravitational time dilation in a linear potential.
  arXiv  Detail & Related papers  (2019-05-22T12:30:57Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.